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Finding the Third Proportional to 19,535 and 29,218

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Solution

The third proportional to 19,535 and 29,218 is: 43,700.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,535 : 29,218 = 29,218 : x
  2. Step 2: Convert to fraction form
    19,535/29,218 = 29,218/x
  3. Step 3: Cross multiply
    19,535x = 29,218 × 29,218
  4. Step 4: Simplify right side
    19,535x = 853,691,524
  5. Step 5: Solve for x
    x = 853,691,524/19,535
  6. Step 6: Final answer
    x = 43,700.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.